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# Copyright 2012, 2013 Christian Sigg
#
# This program is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 2 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# A copy of the GNU General Public License is available at
# http://www.r-project.org/Licenses/
context("nsprcomp.spca")
test_that("cardinality", {
set.seed(1)
X <- matrix(rnorm(5*5), 5)
nspc.model <- nsprcomp(X, k = 1)
expect_true(all(cardinality(nspc.model$rotation) == 1))
nspc.model <- nsprcomp(X, k = 4)
expect_true(all(cardinality(nspc.model$rotation) <= 4))
nspc.model <- nsprcomp(X, k = 1:5)
expect_true(all(cardinality(nspc.model$rotation) <= 1:5))
})
test_that("deflation", {
set.seed(1)
k <- 4
d <- 10
n <- 20
X = matrix(runif(n*d), n)
nspc <- nsprcomp(X, k = k)
W <- nspc$rotation
Xp <- nspc$xp
for (cc in seq(length(nspc$sdev))) {
expect_true(sum(abs(Xp%*%W[ ,cc])) < 1e-10)
}
})
test_that("reconstruction", {
set.seed(1)
X <- matrix(runif(5*5), 5)
nspc <- nsprcomp(X, k = 3)
X_hat <- predict(nspc)%*%ginv(nspc$rotation) + matrix(1,5,1) %*% nspc$center
expect_true(norm(X - X_hat, type="F") < 1e-3)
})
test_that("weighted approximation error", {
set.seed(1)
X <- scale(matrix(runif(5*5), 5))
nspc <- nsprcomp(X, omega = c(1,1,1,1,5), ncomp = 2, k = 3)
X_hat <- predict(nspc)%*%ginv(nspc$rotation)
nrm <- rowSums((X - X_hat)^2)
expect_true(which.min(nrm) == 5)
})
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